91940872320 has 1152 divisors, whose sum is σ = 377123947200. Its totient is φ = 20559052800.

The previous prime is 91940872307. The next prime is 91940872327. The reversal of 91940872320 is 2327804919.

91940872320 is a `hidden beast` number, since 9 + 1 + 9 + 408 + 7 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (91940872327) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 701838655 + ... + 701838785.

Almost surely, 2^91940872320 is an apocalyptic number.

91940872320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91940872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188561973600).

91940872320 is an abundant number, since it is smaller than the sum of its proper divisors (285183074880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91940872320 is a wasteful number, since it uses less digits than its factorization.

91940872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 91940872320 in words is "ninety-one billion, nine hundred forty million, eight hundred seventy-two thousand, three hundred twenty".